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Finding the Third Proportional to 542.06 and 793.88

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Solution

The third proportional to 542.06 and 793.88 is: 1,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.06 : 793.88 = 793.88 : x
  2. Step 2: Convert to fraction form
    542.06/793.88 = 793.88/x
  3. Step 3: Cross multiply
    542.06x = 793.88 × 793.88
  4. Step 4: Simplify right side
    542.06x = 630,237.52
  5. Step 5: Solve for x
    x = 630,237.52/542.06
  6. Step 6: Final answer
    x = 1,162.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.